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erastovalidia [21]
3 years ago
12

What is the factored form of 25b^2-60b+36​

Mathematics
2 answers:
weeeeeb [17]3 years ago
7 0

Rewrite  

25

b

2

as  

(

5

b

)

2

.

(

5

b

)

2

−

60

b

+

36

Rewrite  

36

as  

6

2

.

(

5

b

)

2

−

60

b

+

6

2

Check the middle term by multiplying  

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

⋅

(

5

b

)

⋅

−

6

Simplify.

2

a

b

=

−

60

b

Factor using the perfect square trinomial rule  

a

2

−

2

a

b

+

b

2

=

(

a

−

b

)

2

, where  

a

=

5

b

and  

b

=

−

6

.

(

5

b

−

6

)

2

Natalija [7]3 years ago
4 0

Answer:

Step-by-step explanation:

65b-60b+36=5b+36

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A mountain climber starts a climb at an elevation of 453 feet above sea level. At his first rest stop he has climbed 162 feet, a
NISA [10]

Answer:

C) Descend 84 feet

Step-by-step explanation:

162+207=369

369-285=84ft above starting point, this means that he must descend 84 feet to reach the starting point.

5 0
3 years ago
An accounting professor wants to know the average GPA of the students enrolled in her class. She looks up information on Blackbo
olya-2409 [2.1K]

Answer:

a) True

b) Parameter

Step-by-step explanation:

We are given the following in the question:

An accounting professor wants to know the average GPA of the students enrolled in her class.

Population:

  • It is defined as the collection of all variables of interest.
  • A sample of individuals of interest is drawn from a population.

For the given case

Individuals of interest:

Students enrolled in accounting class

Population of interest:

Students enrolled in accounting class

Characteristic of interest:

Average GPA of the students enrolled in her class.

a) The population is all students enrolled in the accounting class.

The given statement is true as it contains all the observation of all the individuals of interest.

b) The computed average GPA of all the students enrolled in the class is 3.29

Statistic is a descriptive measure that describes a sample where as a parameter is a measure that describes the population.

Since 3.29 is the average of all the students enrolled in her class that is the average GPA of population.

Thus, 3.29 is a parameter.

6 0
3 years ago
What is the equation of this graphed line?
cestrela7 [59]
First we find the slope by using the slope formula : (y2 - y1) / (x2 - x1)

slope = (y2 - y1) / (x2 - x1)
(0,7)....x1 = 0 and y1 = 7
(8,-2)...x2 = 8 and y2 = -2
now sub...pay attention to ur signs
slope = (-2 - 7) / (8 - 0) = -9/8

now we use y = mx + b
slope(m) = -9/8
u can use either of ur points...(0,7)...x = 0 and y = 7
now sub into ur formula and find b, the y int
7 = -9/8(0) + b
7 = b
so ur equation is : y = -9/8x + 7 <==
5 0
3 years ago
What percent of the volunteers was at least 15 years old but no more than 24 years old?
viva [34]

Answer:

i think it is 1% sry if wrong  

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the length of the arc and express your answer as a fraction times pie
Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}

To find the length of the arc, s, the formula is

\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}

Substitute the variables into the formula to find the length of an arc, s above

\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}

Hence, the length of the arc, s, is 3π units.

4 0
11 months ago
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